5143564800000 has 2340 divisors, whose sum is σ = 21624967655676. Its totient is φ = 1216512000000.

The previous prime is 5143564799999. The next prime is 5143564800149. The reversal of 5143564800000 is 84653415.

It is a happy number.

5143564800000 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 5 + 648 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5030797787136 + 112767012864 = 2242944^2 + 335808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 125452799980 + ... + 125452800020.

Almost surely, 2^{5143564800000} is an apocalyptic number.

5143564800000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5143564800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10812483827838).

5143564800000 is an abundant number, since it is smaller than the sum of its proper divisors (16481402855676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5143564800000 is an frugal number, since it uses more digits than its factorization.

5143564800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5143564800000 in words is "five trillion, one hundred forty-three billion, five hundred sixty-four million, eight hundred thousand".